(a) State Ohm's Law. Represent it mathematically. (b) Define 1 ohm. (c) What is the resistance of a conductor through which a current of 0.5 A flows…

(a) The potential difference( \(\displaystyle V\) ) across the ends of a given metallic wire or conductor is directly proportional to the current(I) flowing through it, provided the temperature / physical conditions of the conductor remains the same. \[\begin{aligned} & V \propto I \\ & V / I=\text { Constant } \\ & V=I R \end{aligned} \]

(b) If the potential difference across the two ends of a conductor is $\displaystyle 1$ V and the current through it is $\displaystyle 1$ A , then the resistance \(\displaystyle R\) of the conductor is $\displaystyle 1$ ohm. Alternative answer: $\displaystyle 1$ ohm \(\displaystyle =\frac{1 \text { volt }}{1 \text { ampere }}\)

(c)